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Simplifying 35 + -7n = -7(7 + 4n) 35 + -7n = (7 * -7 + 4n * -7) 35 + -7n = (-49 + -28n) Solving 35 + -7n = -49 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 35 + -7n + 28n = -49 + -28n + 28n Combine like terms: -7n + 28n = 21n 35 + 21n = -49 + -28n + 28n Combine like terms: -28n + 28n = 0 35 + 21n = -49 + 0 35 + 21n = -49 Add '-35' to each side of the equation. 35 + -35 + 21n = -49 + -35 Combine like terms: 35 + -35 = 0 0 + 21n = -49 + -35 21n = -49 + -35 Combine like terms: -49 + -35 = -84 21n = -84 Divide each side by '21'. n = -4 Simplifying n = -4
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